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Finding the Fourth Proportional to 23,464.74, 32,380.47 and 12,854.46

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Solution

The fourth proportional to 23,464.74, 32,380.47 and 12,854.46 is: 17,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.74 : 32,380.47 = 12,854.46 : x
  2. Step 2: Convert to fraction form
    23,464.74/32,380.47 = 12,854.46/x
  3. Step 3: Cross multiply
    23,464.74x = 32,380.47 × 12,854.46
  4. Step 4: Simplify right side
    23,464.74x = 416,233,456.40
  5. Step 5: Solve for x
    x = 416,233,456.40/23,464.74
  6. Step 6: Final answer
    x = 17,738.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.